Simply replace the crack pipe by clearing the grout, smoothening the underlayment, sealing, applying mortar, and giving a finish to the bottom with a quality sealant.
Marble penstocks do get cracked at times. Like from any hit by heavy particulars or constant pressure by heavy cabinetwork. Still, you do not have to live with broken or cracked penstocks. You must replace the broken bottom pipe with a new bone. Still, the durability of the repairing process can vary. Like if the bottom is installed with a bed of mortar. And also a thin set of bonds.